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" IF an angle of a triangle be bisected by a straight line, which likewise cuts the base ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square of the... "
A Supplement to the Elements of Euclid - Seite 325
von Daniel Cresswell - 1825 - 582 Seiten
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Mathematical Exercises ...

Samuel H. Winter - 1864 - 348 Seiten
...base or the base produced, the difference between the square on this line and the square on the side of the triangle, is equal to the rectangle contained by the segments of the base. 12. A pyramid is cut by a plane parallel to the base; show that the section is a figure which is similar...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 Seiten
...be bisected by a straight line which likewise cuts the base ; the rectangle contained by the sides of the triangle is equal to the rectangle contained...base, together with the square of the straight line which bisects the angle. Prop. C. If from any angle of a triangle, a straight line be drawn perpendicular...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 Seiten
...be bisected by a straight line which likewise outs the bast ; the rectangle contained by the sides of the triangle is equal to the rectangle contained...the segments of the base, together with the square on the straight line which bisects tlw angle. Let ABC be a triangle, and let the angle BAC be bisected...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained...the segments of the base, together with the square on the straight line which bisects the angle. Let ABC be a triangle, and let the angle BAC be bisected...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 Seiten
...which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to (he rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle. Let ABC be a triangle, and let the angle BAC be bisected...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 Seiten
...be bisected by a straight line which likewise cuts the base ; the rectangle contained by the sides of the triangle is equal to the rectangle contained...the segments of the base, together with the square on the straight line which bisects the angle. Let ABC be a triangle, and let the angle BA C be bisected...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 302 Seiten
...by a line which cuts t/ie bast., the rectangle contained by the sides of the triangle, is equivalent to the rectangle contained by the segments of the base, together with the square of the bisecting line. Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD; the...
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Elements of geometry, containing the first two (third and fourth ..., Teil 1

Euclides - 1871 - 136 Seiten
...joining the middle points of the diagonals. 7. If the square on one perpendicular from the vertex of a triangle is equal to the rectangle contained by the segments of the base, the vertical angle is a right angle. 8. Produce a given straight line so that the rectangle contained...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 Seiten
...joining the middle points of the diagonals. 7. If the square on one perpendicular from the vertex of a triangle is equal to the rectangle contained by the segments of the base, the vertical angle is a right angle. 8. Produce a given straight line so that the rectangle contained...
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The Madras University Calendar

University of Madras - 1873 - 436 Seiten
...which meets the base, the rectangle under the two sides of the triangle is equal to the rectangle under the segments of the base together with the square of the straight line which bisects the vertical angle. XII. If O be the centre of a circle, PQR a tangent to it at F, and...
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